Spectral analysis of nonuniformly spaced data using least square method

Jinhwan Koh; Tapan K. Sarkar

doi:10.1016/j.dsp.2004.09.004

Spectral analysis of nonuniformly spaced data using least square method

Jinhwan Koh, Tapan K. Sarkar

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The current study investigates an unevenly spaced spectrum using a least square method. The well known Lomb periodogram approach has many benefits, yet it cannot resolve positive and negative frequencies. Using a modified scheme, positive and negative frequencies were discerned without losing any of the benefits of a Lomb periodogram. One of the properties of the periodogram approach is the relationship between the coefficients, i.e., the Hilbert transformation pair. By utilizing this property, the processing time was reduced by half.

Original language	English (US)
Pages (from-to)	44-55
Number of pages	12
Journal	Digital Signal Processing: A Review Journal
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/j.dsp.2004.09.004
State	Published - Jan 2005

Keywords

Hilbert transform
Least square method
Periodogram
Unevenly sampled spectrum

ASJC Scopus subject areas

Artificial Intelligence
Signal Processing
Applied Mathematics
Electrical and Electronic Engineering
Computer Vision and Pattern Recognition
Statistics, Probability and Uncertainty
Computational Theory and Mathematics

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10.1016/j.dsp.2004.09.004

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AB - The current study investigates an unevenly spaced spectrum using a least square method. The well known Lomb periodogram approach has many benefits, yet it cannot resolve positive and negative frequencies. Using a modified scheme, positive and negative frequencies were discerned without losing any of the benefits of a Lomb periodogram. One of the properties of the periodogram approach is the relationship between the coefficients, i.e., the Hilbert transformation pair. By utilizing this property, the processing time was reduced by half.

KW - Hilbert transform

KW - Least square method

KW - Periodogram

KW - Unevenly sampled spectrum

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Spectral analysis of nonuniformly spaced data using least square method

Abstract

Keywords

ASJC Scopus subject areas

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